Question

which statement about the net is true?

the net can be folded to form a pyramid because at least one of the faces is a triangle.
the net can be folded to form a pyramid because more than one of the faces is a triangle.
the net cannot be folded to form a pyramid because one of the faces is a rectangle.
the net cannot be folded to form a pyramid because the faces that are not a base are not all triangles.

Explanation:

Step1: Recall the properties of a pyramid

A pyramid has a base and triangular lateral faces.

Step2: Analyze each option

• Option 1: Just having one triangular face is not sufficient. A pyramid (except for some degenerate cases which are not standard) has multiple triangular faces (lateral) and a base.
• Option 2: Having more than one triangular face is not the only criterion. The non - base faces should all be triangles.
• Option 3: A pyramid can have a non - triangular base (e.g., a square - based pyramid has a square base). So, having a rectangular face (which can be a base) does not prevent it from being a pyramid.
• Option 4: In the given net, there are rectangular faces (non - base in a pyramid - like structure). For a pyramid, the non - base faces should all be triangles.

Answer:

The net cannot be folded to form a pyramid because the faces that are not a base are not all triangles.